9720129510 has 384 divisors, whose sum is σ = 32408812800. Its totient is φ = 2007742464.

The previous prime is 9720129451. The next prime is 9720129527. The reversal of 9720129510 is 159210279.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21269202 + ... + 21269658.

It is an arithmetic number, because the mean of its divisors is an integer number (84397950).

Almost surely, 2^9720129510 is an apocalyptic number.

9720129510 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9720129510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204406400).

9720129510 is an abundant number, since it is smaller than the sum of its proper divisors (22688683290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9720129510 is a wasteful number, since it uses less digits than its factorization.

9720129510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 9720129510 is about 98590.7171593756. The cubic root of 9720129510 is about 2134.1454611139.

Adding to 9720129510 its reverse (159210279), we get a palindrome (9879339789).

The spelling of 9720129510 in words is "nine billion, seven hundred twenty million, one hundred twenty-nine thousand, five hundred ten".